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Finding the Fourth Proportional to 705, 973.22 and 429.16

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Solution

The fourth proportional to 705, 973.22 and 429.16 is: 592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 973.22 = 429.16 : x
  2. Step 2: Convert to fraction form
    705/973.22 = 429.16/x
  3. Step 3: Cross multiply
    705x = 973.22 × 429.16
  4. Step 4: Simplify right side
    705x = 417,667.10
  5. Step 5: Solve for x
    x = 417,667.10/705
  6. Step 6: Final answer
    x = 592.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.